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Finding the Fourth Proportional to 143,447.44, 197,978.16 and 86,089.36

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Solution

The fourth proportional to 143,447.44, 197,978.16 and 86,089.36 is: 118,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,447.44 : 197,978.16 = 86,089.36 : x
  2. Step 2: Convert to fraction form
    143,447.44/197,978.16 = 86,089.36/x
  3. Step 3: Cross multiply
    143,447.44x = 197,978.16 × 86,089.36
  4. Step 4: Simplify right side
    143,447.44x = 17,043,813,088.38
  5. Step 5: Solve for x
    x = 17,043,813,088.38/143,447.44
  6. Step 6: Final answer
    x = 118,815.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.